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- January 26th 2013, 12:09 PMmulferinequality
- January 26th 2013, 10:35 PMearthboyRe: inequality
Small advice @ mulfer:please learn LATEX

We have to prove:

It is equivalent to proving:

So we are done if we are able to prove this.

now,

if is a positive real number,

if then (obvious)

if then (obvious)

if then so, (multiplying both sides by a negative number i.e changes the sign)

so for all case,

similarly,

summing these we get:

so we will be done if we prove or

by the AM-GM inequality,

# as

proved (Rock) - January 27th 2013, 04:14 AMmulferRe: inequality
thanks for replying. I'd be glad to learn the latex soon.

please, check my solution:

Attachment 26722 - January 27th 2013, 05:32 AMearthboyRe: inequality